{
  "abstract": "FINDING: The Navier-Stokes existence and smoothness problem remains open; the search results are educational expositions and one preprint claiming a new method, but no verified breakthrough or novel mathematical constant emerges. | MATH: The core system is the incompressible Navier-Stokes equation: ∂u/∂t + (u·∇)u = −∇p + ν∇²u, ∇·u = 0, with u(x,t) ∈ ℝ³, ν > 0 (kinematic viscosity). The Clay problem asks: for smooth, divergence-free initial data u₀ with finite energy, do smooth global solutions exist for all t > 0, with bounded energy? The critical scaling is u_λ(x,t) = λ u(λx, λ²t), which leaves the equation invariant — this yields the scaling dimension of the solution, and the critical Sobolev space is H^{1/2}(ℝ³). No new constants, ratios, or exact solutions are presented in the search results. | CONNECTION: The scaling symmetry λ → λ² in time vs. λ in space is a parabolic anisotropy — not a golden-ratio or base-60 harmonic. However, the criticality at H^{1/2} relates to the Fourier\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
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  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
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  ],
  "bibtex": "https://research.draconitic.com/paper/a88tpz3a401w8.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409846",
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  "id": "a88tpz3a401w8",
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  "landing_url": "https://zenodo.org/records/23409846",
  "language": "eng",
  "licence": "CC-BY-4.0",
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  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a88tpz3a401w8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:25Z",
      "native_id": "23409846",
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  "subjects": [],
  "title": "Navier-Stokes Problem Remains Unsolved: No Verified Breakthrough Found — E8 Intelligence Research",
  "title_text": "Navier-Stokes Problem Remains Unsolved: No Verified Breakthrough Found — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/a88tpz3a401w8",
  "venue": "Zenodo",
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